TRANSFINITE TREE QUIVERS AND THEIR REPRESENTATIONS

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Enochs E., Estrada S., ÖZDEMİR S.

MATHEMATICA SCANDINAVICA, cilt.112, sa.1, ss.49-60, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.7146/math.scand.a-15232
  • Dergi Adı: MATHEMATICA SCANDINAVICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.49-60
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The idea of "vertex at the infinity" naturally appears when studying indecomposable injective representations of tree quivers. In this paper we formalize this behavior and find the structure of all the indecomposable injective representations of a tree quiver of size an arbitrary cardinal kappa. As a consequence the structure of injective representations of noetherian kappa-trees is completely determined. In the second part we will consider the problem whether arbitrary trees are source injective representation quivers or not.